To solve the expression \(3^{9} \times 3^{-5}\), we can use the property of exponents that states \(a^m \times a^n = a^{m+n}\).
In this case, we have:
\[ 3^{9} \times 3^{-5} = 3^{9 + (-5)} = 3^{9 - 5} = 3^{4} \]
Now we can calculate \(3^{4}\):
\[ 3^{4} = 3 \times 3 \times 3 \times 3 = 81 \]
Thus, the numerical equivalent of \(3^{9} \times 3^{-5}\) is \(81\).